First we write the mathematical model in a generic way:
"The stopping distance of an automobile is directly proportional to the square of its speed v"
d = kv ^ 2
Where,
k: proportionality constant.
We now look for the value of K:
d = kv ^ 2
90 = k ((70) * (5280/3600)) ^ 2
k = 90 / ((70) * (5280/3600)) ^ 2
k = 0.008538539 s ^ 2 / feet
The equation will then be:
d = (0.008538539) * v ^ 2
For v = 71 miles per hour we have:
d = (0.008538539) * ((71) * (5280/3600)) ^ 2
d = 92.6 feet
Answer:
a mathematical model that gives the stopping distance in terms of its speed v is:
d = (0.008538539) * v ^ 2
The stopping distance if the brakes are applied when the car is traveling at 71 miles per hour is:
d = 92.6 feet
The better deal would be the Mini-Cans. If you want to find the value for each of them you first have to decide one value you want them to be in. I chose milliliters. Each liter is equal to 1,000 milliliters. For the liter drinks it means that there is 2,000 milliliters combined. From then you can find the value for each. If you wish to find out the value per milliliter you can simply divide it by 4. The number you get is what each is equal to which is .65. For the next drinks it's the same steps so it would be .852. The best option, the mini cans, is .44. They are the cheapest by around 21 cents less than the liter drinks.
If the rate at which they are giving the DVDs is the same then it is 4/65 or 16.25% or 0.1625.
Now just multiply 455 by the rate (4/65 or 16.25% or 0.1625) to find how many DVDs were given.
455 × (4/65) = 28
28 DVDs were given away
hope it helps :)
Answer:
a
Step-by-step explanation:
8*2=16
8*8=64
d+d+d=3d
16+64=80d3rd
